MATHEMATICS MIDDLE SCHOOL

A cone and cylinder have the same height and the same base radius. If the volume of the cylinder is 81 cm^3 what is the volume of the cone in cm^3?A) 9
B) 27
C) 78
D)243

Answers

Answer 1
Answer:

Answer:

The volume of the cone is 27cm^3

Step-by-step explanation:

We know that formulas

Volume of cylinder is

V_1=\pi r^2 h

Volume of cone is

V_2=(1)/(3)\pi r^2 h

we are given

A cone and cylinder have the same height and the same base radius

So, both will have same radius and height

now, we can find ratios

(V_2)/(V_1)=((1)/(3)\pi r^2h )/(\pi r^2h)

now, we can simplify it

(V_2)/(V_1)=(1)/(3)

we are given

the volume of the cylinder is 81 cm^3

so, V_1=81

now, we can plug it and solve for V2

(V_2)/(81)=(1)/(3)

81* (V_2)/(81)=81*(1)/(3)

V_2=27

So, the volume of the cone is 27cm^3

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